摘要
本文对一类积-微分方程推得了其有限元迭代解及其导数的多项渐近展式,从而可对其反复地进行外推,以求得其具有足够收敛阶的近似解。
In this paper,the asymptotic expansions with more termsfor the k-degree iterated Galerkin approximation solution along with itsderivatives of integro-differential equations are obtained,thus the ex-trapolation to it can be done repeatedly in order to get an approximationsolution which has enough high accuracy.
出处
《湘潭大学自然科学学报》
CAS
CSCD
1992年第2期28-34,共7页
Natural Science Journal of Xiangtan University
关键词
积-微分方程
迭代解
有限元
integro-differential equations
iterated solution
asymp-totic expansions
extrapolation estimate